Step 1 :First, substitute \(y\) from the second equation into the first equation. This gives the equation \(x + 3(2x - 9) = 8\).
Step 2 :Simplify the equation to get \(7x - 27 = 8\).
Step 3 :Solve this equation for \(x\) to get \(x = 5\).
Step 4 :Substitute \(x = 5\) back into the second equation \(y = 2x - 9\).
Step 5 :Solve for \(y\) to get \(y = 1\).
Step 6 :The solution to the system of equations is the ordered pair \(\boxed{(5, 1)}\).